Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208q |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1264896 |
Modular degree for the optimal curve |
Δ |
1637798752091706624 = 28 · 32 · 72 · 299 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 6 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360985,56250851] |
[a1,a2,a3,a4,a6] |
Generators |
[-154187960766:2524913213761:275894451] |
Generators of the group modulo torsion |
j |
414721296960646144/130564313782821 |
j-invariant |
L |
9.7595562786489 |
L(r)(E,1)/r! |
Ω |
0.24650064935306 |
Real period |
R |
19.7962080511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104b1 68208a1 |
Quadratic twists by: -4 -7 |